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Product inspection policy for an imperfect production system with inspection errors and warranty cost

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  • Sarkar, Biswajit
  • Saren, Sharmila

Abstract

During manufacturing of products, all produced items are considered as perfect in general. This viewpoint of taking all finished products are perfect is not correct always. Defective items may occur during the production process for several reasons. This paper describes a deteriorating production process which randomly shifts to out-of-control state from in-control state. In case of full inspection policy, expected total cost together with inspection cost results higher inventory cost. Therefore, product inspection policy is better to use for reducing inspection costs. During product inspection process, inspectors may choose falsely a defective item as non-defective and vice-versa. Type I and Type II errors are incorporated in this model to make more realistic rather than existing models. This model includes a warranty policy for some fixed time periods. Some numerical examples, sensitivity analysis, and graphical representations are given to illustrate this model.

Suggested Citation

  • Sarkar, Biswajit & Saren, Sharmila, 2016. "Product inspection policy for an imperfect production system with inspection errors and warranty cost," European Journal of Operational Research, Elsevier, vol. 248(1), pages 263-271.
  • Handle: RePEc:eee:ejores:v:248:y:2016:i:1:p:263-271
    DOI: 10.1016/j.ejor.2015.06.021
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    References listed on IDEAS

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    4. Ivan Darma Wangsa & Hui Ming Wee & Shih-Hsien Tseng, 2019. "A coordinated vendor–buyer system considering loss and damage claims, insurance cost and stochastic lead time," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(3), pages 384-398, June.
    5. Ahmadi, Reza & Fouladirad, Mitra, 2017. "Maintenance planning for a deteriorating production process," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 108-118.
    6. Hassin, Refael & Sarid, Anna, 2018. "Operations research applications of dichotomous search," European Journal of Operational Research, Elsevier, vol. 265(3), pages 795-812.
    7. Mitali Sarkar & Biswajit Sarkar & Muhammad Waqas Iqbal, 2018. "Effect of Energy and Failure Rate in a Multi-Item Smart Production System," Energies, MDPI, Open Access Journal, vol. 11(11), pages 1-21, October.
    8. Peng, Rui & Liu, Bin & Zhai, Qingqing & Wang, Wenbin, 2019. "Optimal maintenance strategy for systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 624-632.
    9. Taleizadeh, Ata Allah & Khanbaglo, Mahboobeh Perak Sari & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "An EOQ inventory model with partial backordering and reparation of imperfect products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 418-434.
    10. Chen, Cheng-Kang & Lo, Chih-Chung & Weng, Tzu-Chun, 2017. "Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period," European Journal of Operational Research, Elsevier, vol. 259(2), pages 401-412.
    11. Peymankar, Mahboobe & Dehghanian, Farzad & Ghiami, Yousef & Abolbashari, Mohammad Hassan, 2018. "The effects of contractual agreements on the economic production quantity model with machine breakdown," International Journal of Production Economics, Elsevier, vol. 201(C), pages 203-215.
    12. Anshu Dai & Guanzhou Wei & Zhaomin Zhang & Shuguang He, 2020. "Design of a flexible preventive maintenance strategy for two-dimensional warranted products," Journal of Risk and Reliability, , vol. 234(1), pages 74-87, February.
    13. Sarkar, Biswajit & Sarkar, Mitali & Ganguly, Baishakhi & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "Combined effects of carbon emission and production quality improvement for fixed lifetime products in a sustainable supply chain management," International Journal of Production Economics, Elsevier, vol. 231(C).
    14. Naoufel Cheikhrouhou & Biswajit Sarkar & Baishakhi Ganguly & Asif Iqbal Malik & Rafael Batista & Young Hae Lee, 2018. "Optimization of sample size and order size in an inventory model with quality inspection and return of defective items," Annals of Operations Research, Springer, vol. 271(2), pages 445-467, December.
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